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Finding the Fourth Proportional to 9,246.11, 13,869.17 and 7,856.15

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Solution

The fourth proportional to 9,246.11, 13,869.17 and 7,856.15 is: 11,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.11 : 13,869.17 = 7,856.15 : x
  2. Step 2: Convert to fraction form
    9,246.11/13,869.17 = 7,856.15/x
  3. Step 3: Cross multiply
    9,246.11x = 13,869.17 × 7,856.15
  4. Step 4: Simplify right side
    9,246.11x = 108,958,240.61
  5. Step 5: Solve for x
    x = 108,958,240.61/9,246.11
  6. Step 6: Final answer
    x = 11,784.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.